An efficient and robust algorithm for source reconstruction in the Helmholtz equation
From MaRDI portal
Publication:5861320
DOI10.1080/17415977.2021.1960832OpenAlexW3189192356MaRDI QIDQ5861320
Abdellatif El Badia, Nour Eddine Alaa, Abderrahim Charkaoui
Publication date: 4 March 2022
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2021.1960832
Numerical optimization and variational techniques (65K10) Fréchet and Gateaux differentiability in optimization (49J50) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence theories for optimal control problems involving partial differential equations (49J20)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reconstruction of extended sources with small supports in the elliptic equation \(\Delta u+\mu u=F\) from a single Cauchy data
- Qualitative methods in inverse scattering theory. An introduction
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- On the existence of a solution in a domain identification problem
- On the numerical solution of the eigenvalue problem of the Laplace operator by a capacitance matrix method
- Inverse acoustic and electromagnetic scattering theory.
- On inverse problems for characteristic sources in Helmholtz equations
- Reconstruction algorithms of an inverse source problem for the Helmholtz equation
- Direct algorithm for multipolar sources reconstruction
- A numerical method for inverse source problems for Poisson and Helmholtz equations
- Variation and optimization of formes. A geometric analysis
- On the multi-frequency inverse source problem in heterogeneous media
- Identification of moving pointwise sources in an advection–dispersion–reaction equation
- An inverse source problem for Helmholtz's equation from the Cauchy data with a single wave number
- An inverse problem for Helmholtz equation
- Identification of dipole sources in an elliptic equation from boundary measurements: application to the inverse EEG problem
- On the identification of star-shape sources from boundary measurements using a reciprocity functional
- Some remarks on the problem of source identification from boundary measurements
- Reconstruction of a source domain from the Cauchy data
- On an inverse source problem for the heat equation. Application to a pollution detection problem
- Identification of point sources in two-dimensional advection-diffusion-reaction equation: application to pollution sources in a river. Stationary case
- Reconstruction of extended sources for the Helmholtz equation
- Identification of Dislocations in Materials from Boundary Measurements